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Dynamical mean‐field theory for correlated electrons
Author(s) -
Vollhardt D.
Publication year - 2012
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201100250
Subject(s) - physics , dynamical mean field theory , electron , statistical physics , strongly correlated material , lattice (music) , limit (mathematics) , mean field theory , simple (philosophy) , quantum , quantum mechanics , condensed matter physics , mathematics , mathematical analysis , philosophy , epistemology , acoustics
Abstract Electronic correlations strongly influence the properties of matter. For example, they can induce a discontinuous transition from conducting to insulating behavior. In this paper basic terms of the physics of correlated electrons are explained. In particular, I describe some of the steps that led to the formulation of a comprehensive, non‐perturbative many‐body approach to correlated quantum many‐body systems, the dynamical mean‐field theory (DMFT). The DMFT becomes exact in the limit of high lattice dimensions (d → ∞) and allows one to go beyond the investigation of simple correlation models and thereby better understand, and even predict, the properties of electronically correlated materials.